Question

Use the mixed congruential method to generate a sequence of three two-digit random integers between 0 and 24 with X0 = 13, a = 9, and c = 35. Use m = 25.

Answer 1

To generate a sequence of three two-digit random integers between 0 and 24 using the mixed congruential method, you need to use the formula Xn+1 = (a*Xn + c) mod m. Apply this formula with the given values and extract the two-digit numbers from the results.

Step-by-step explanation:

The mixed congruential method is a way to generate a sequence of random integers using a formula. In this case, the formula is Xn+1 = (a*Xn + c) mod m.

To generate a sequence of three two-digit random integers between 0 and 24, with X0 = 13, a = 9, and c = 35, we can use the following steps:

1. Calculate X1 using X1 = (9*13 + 35) mod 25 = 222.
2. Extract the two-digit number from X1: 22.
3. Calculate X2 using X2 = (9*22 + 35) mod 25 = 105.
4. Extract the two-digit number from X2: 05.
5. Calculate X3 using X3 = (9*05 + 35) mod 25 = 160.
6. Extract the two-digit number from X3: 16.

So, the sequence of three two-digit random integers between 0 and 24 is 22, 05, and 16.